Properties of the Number 7680

Seven Thousand Six Hundred Eighty

Basics

Value: 7679 → 7680 → 7681

Parity: even

Prime: No

Previous Prime: 7673

Next Prime: 7681

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁹ × 3 × 5

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000000000

Octal: 17000

Duodecimal: 4540

Hexadecimal: 1e00

Square: 58982400

Square Root: 87.63560920082658

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

11-almost primes (generalization of semiprimes). A69272

Triangle read by rows: terms of a binomial decomposition of 1 as Sum(k=0..n)T(n,k). A244117

Triangle read by rows: terms T(n,k) of a binomial decomposition of nⁿ as Sum(k=0..n)T(n,k). A244137

a(n) is the smallest number of divisors of pⁿ - 1 that may possibly occur for arbitrarily large primes p. A309906

The smallest representative of each (bigomega(n),ω(n)) pair. A70175

Number A(n,k) of lattice paths from {n}^k to {0}^k using steps that decrement one component such that for each point (p₁,p₂,...,p_k) we have p₁<=p₂<=...<=p_k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A227578

Number of subsets of {1..n} that cannot be linearly combined using nonnegative coefficients to obtain n. A365380

Square array A(n,k), n>=1, k>=1, read by antidiagonals: A(n,k) is the number of n-colorings of the k X k X k triangular grid. A182797

Triangle read by rows: T(n,k) (n >= 1, 0 <= k <= ceiling(n/2)-1) = number of permutations of [n] with k peaks. A8303

Sum of all parts of all partitions of n that do not contain 1 as a part. A138880